An Octonionic Gauge Theory

Details An Octonionic Gauge Theory An Octonionic Gauge Theory

1995-03-28

arxiv.org/abs/hep-th/9503189v1

Chaos Solitons Fractals 7 (1996) 769-775

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Revtex

Scientific paper

The nonassociativity of the octonion algebra necessitates a bimodule representation, in which each element is represented by a left and a right multiplier. This representation can then be used to generate gauge transformations for the purpose of constructing a field theory symmetric under a gauged octonion algebra, the nonassociativity of which appears as a failure of the representation to close, and hence produces new interactions in the gauge field kinetic term of the symmetric Lagrangian.

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